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21930832 = 2472112543
BaseRepresentation
bin101001110101…
…0001101010000
31112021012110001
41103222031100
521103241312
62102015344
7354260200
oct123521520
945235401
1021930832
1111419a60
127417554
13470b231
142cac400
151dd3057
hex14ea350

21930832 has 60 divisors (see below), whose sum is σ = 53942976. Its totient is φ = 8541120.

The previous prime is 21930809. The next prime is 21930851. The reversal of 21930832 is 23803912.

It is a super-2 number, since 2×219308322 = 961922784424448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21930832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7353 + ... + 9895.

Almost surely, 221930832 is an apocalyptic number.

21930832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21930832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26971488).

21930832 is an abundant number, since it is smaller than the sum of its proper divisors (32012144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21930832 is a wasteful number, since it uses less digits than its factorization.

21930832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 21930832 is about 4683.0366216804. The cubic root of 21930832 is about 279.9099710559.

Subtracting 21930832 from its reverse (23803912), we obtain a triangular number (1873080 = T1935).

The spelling of 21930832 in words is "twenty-one million, nine hundred thirty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 2543 4312 5086 8624 10172 17801 20344 27973 35602 40688 55946 71204 111892 124607 142408 195811 223784 249214 284816 391622 447568 498428 783244 996856 1370677 1566488 1993712 2741354 3132976 5482708 10965416 21930832